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Finding the Fourth Proportional to 1,562.19, 2,343.64 and 588.30

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Solution

The fourth proportional to 1,562.19, 2,343.64 and 588.30 is: 882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.19 : 2,343.64 = 588.30 : x
  2. Step 2: Convert to fraction form
    1,562.19/2,343.64 = 588.30/x
  3. Step 3: Cross multiply
    1,562.19x = 2,343.64 × 588.30
  4. Step 4: Simplify right side
    1,562.19x = 1,378,763.41
  5. Step 5: Solve for x
    x = 1,378,763.41/1,562.19
  6. Step 6: Final answer
    x = 882.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.